QUASISCALING IN THE ANALYSIS OF THE YIELD RATIO PI(-) PI(+) - MATHEMATICAL STRUCTURE AND ESTIMATION OF SOURCE SIZE/

ecently we have found that the integral of the squared Coulomb wave fu nction describing a system composed of charged pion and central charge d fragment Z(eff) protons, \psi(r)(r)\(2), times pion source function rho(r) (of the size beta), integral dr\psi(r)(r)/(2) rho(r), shows a q uasiscaling behavior. This is approximately invariant under the follow ing transformation: (beta,Z(eff))-->(lambda beta,lambda Z(eff)); lambd a > 0. We called such behavior beta-Z(eff) quasiscaling. We examine th is quasiscaling behavior in detail. In particular we provide a semiana lytical examination of this behavior and confirm it for the exponentia l pionic source functions in addition to the Gaussian ones and for the production of K mesons as well. When combined with the results of the Hanbury-Brown Twiss effect a result of the yield ratio allows us to e stimate the size of the central charged fragment to be 125 less than o r equal to Z(eff) less than or equal to 150 for Pb + Pb collisions at energy 158 GeV/nucleon. From our estimation, the baryon number density 0.024 less than or equal to n(B) less than or equal to 0.036 [1/fm(3) ] is obtained.